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What is the Square Root of 6708?

The square root of 6708 is 81.9023809178. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√6708 = 81.9023809178
CalculatedNon-perfect squareIrrational
Exact form√6708
Perfect squareNo
Number typeIrrational
Verification81.90238091782 ≈ 6708

On this page

How the answer is calculated

We solve x2 = 6708. The resulting value is x = 81.9023809178.

Verification: 81.90238091782 ≈ 6708.

Simplified radical form

The square root of 6708 in simplified radical form is 2√1677.

This is equivalent to √6708, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal816561
Upper or equal826724

Nearby square roots

NumberSquare root
√670581.8840643837
√670681.8901703503
√670781.8962758616
√670881.9023809178
√670981.9084855189
√671081.9145896651
√671181.9206933564

Number properties

Is 6708 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√6708 is irrational because 6708 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 6708.